Set N points to same Y position

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Please see the attached picture -- for every three points, I want the second and third to match the position in Y of the first. So I'd like points 1 and 2 to match the Y position of 0, points 4 & 5 to match the Y position of 3, and so on up the row of points. So far I'm not having luck with a wrangle, have tried to use a For-Each but no joy. Any suggestions?